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794993472 = 263271329523
BaseRepresentation
bin101111011000101…
…010001101000000
32001101220212000200
4233120222031000
53112004242342
6210515245200
725462222140
oct5730521500
92041825020
10794993472
113788313a9
121a22a9800
13c891c150
1477824920
1549bd894c
hex2f62a340

794993472 has 336 divisors, whose sum is σ = 2906816640. Its totient is φ = 202051584.

The previous prime is 794993467. The next prime is 794993477. The reversal of 794993472 is 274399497.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (794993467) and next prime (794993477).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×7949934722 = 1264029241045229568, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (794993477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1519803 + ... + 1520325.

It is an arithmetic number, because the mean of its divisors is an integer number (8651240).

Almost surely, 2794993472 is an apocalyptic number.

794993472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 794993472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453408320).

794993472 is an abundant number, since it is smaller than the sum of its proper divisors (2111823168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

794993472 is a wasteful number, since it uses less digits than its factorization.

794993472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 577 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 794993472 is about 28195.6285973553. The cubic root of 794993472 is about 926.3771925623.

The spelling of 794993472 in words is "seven hundred ninety-four million, nine hundred ninety-three thousand, four hundred seventy-two".